1

GATE CSE 2014 Set 1

MCQ (Single Correct Answer)

+2

-0.6

A function $$f(x)$$ is continuous in the interval $$\left[ {0,2} \right]$$. It is known that $$f(0)$$ $$=$$ $$f(2)$$ $$= -1$$ and
$$f(1)$$ $$ = 1$$. Which one of the following statements must be true?

2

GATE CSE 2014 Set 1

Numerical

+2

-0

The function $$f(x) =$$ $$x$$ $$sinx$$ satisfies the following equation:

$$f$$"$$\left( x \right) + f\left( x \right) + t\,\cos \,x\,\, = \,\,0$$. The value of $$t$$ is ______ .

$$f$$"$$\left( x \right) + f\left( x \right) + t\,\cos \,x\,\, = \,\,0$$. The value of $$t$$ is ______ .

Your input ____

3

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

+2

-0.6

The value of the integral given below is
$$$\int_0^\pi {{x^2}\,\cos \,x\,dx} $$$

4

GATE CSE 2014 Set 3

Numerical

+2

-0

Suppose you want to move from 0 to 100 on the number line. In each step, you either move right by a unit distance or you take a shortcut. A shortcut is simply a pre specified pair of integers i, j with i < j. Given a shortcut i, j if you are at position i on the number line, you may directly move to j. suppose T(k) denotes the smallest number of steps needed to move from k to 100. Suppose further that there is at most 1 shortcut involving any number, and in particular from 9 there is a shortcut to 15. Let y and z be such that T(9) = 1+ min(T(y),T(z)). Then the value of the product yz is _______.

Your input ____

Questions Asked from Calculus (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2021 Set 1 (1)
GATE CSE 2018 (1)
GATE CSE 2017 Set 1 (1)
GATE CSE 2015 Set 1 (1)
GATE CSE 2015 Set 2 (1)
GATE CSE 2015 Set 3 (1)
GATE CSE 2014 Set 1 (2)
GATE CSE 2014 Set 3 (2)
GATE CSE 2011 (1)
GATE CSE 2009 (1)
GATE CSE 2008 (2)
GATE CSE 2005 (1)
GATE CSE 2002 (1)
GATE CSE 1998 (1)
GATE CSE 1997 (1)

GATE CSE Subjects

Theory of Computation

Operating Systems

Algorithms

Database Management System

Data Structures

Computer Networks

Software Engineering

Compiler Design

Web Technologies

General Aptitude

Discrete Mathematics

Programming Languages